12101200100010 has 96 divisors (see below), whose sum is σ = 36005103942912. Its totient is φ = 2762353808640.

The previous prime is 12101200099987. The next prime is 12101200100039. The reversal of 12101200100010 is 1000100210121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12101200099965 and 12101200100001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12140974 + ... + 13099833.

It is an arithmetic number, because the mean of its divisors is an integer number (375053166072).

Almost surely, 2^{12101200100010} is an apocalyptic number.

12101200100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12101200100010 is an abundant number, since it is smaller than the sum of its proper divisors (23903903842902).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12101200100010 is a wasteful number, since it uses less digits than its factorization.

12101200100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25241588 (or 25241585 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12101200100010 its reverse (1000100210121), we get a palindrome (13101300310131).

The spelling of 12101200100010 in words is "twelve trillion, one hundred one billion, two hundred million, one hundred thousand, ten".